Q1
MATHS
Unit 7: Limit Continuity and Differentiability
If the function f(x) = (e^{tan x} - e^x - x tan x - x^2/2) / tan^2 x is continuous at x = 0, then the value of f(0) is equal to:
- A. 2
- B. 2/3
- C. 1/2
- D. 3/2
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Q2
MATHS
Unit 10: Co-ordinate Geometry
Let a circle of radius 4 pass through the origin O, the points A(-3a, 0) and B(0, -2b), where a and b are real parameters and ab != 0. Then the locus of the centroid of triangle OAB is a circle of radius:
- A. 5/3
- B. 7/3
- C. 8/3
- D. 11/3
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Q3
MATHS
Unit 11: Three Dimensional Geometry
Let the lines L1: r = (i + 2j + 3k) + lambda(2i + 3j + 4k) and L2: r = (4i + j) + mu(5i + 2j + k) intersect at point R. Let P and Q be points on L1 and L2 respectively, such that PR = sqrt(29) and PQ = sqrt(47/3). If P lies in the first octant, then 27(QR)^2 is equal to:
- A. 340
- B. 360
- C. 320
- D. 348
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Q4
MATHS
Unit 6: Sequence and Series
Let 729, 81, 9, 1, ... be a sequence and Pn denote the product of the first n terms. If sum from n=1 to 40 of (1/Pn) = (3^alpha - 1) / (beta * 3^something), where gcd(alpha, beta) = 1, then alpha + beta is equal to:
- A. 73
- B. 74
- C. 75
- D. 76
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Q5
MATHS
Unit 12: Vector Algebra
Let a = 2i + j - 2k, b = i + j, and c = a x b. Let d be a vector such that |d - a| = 1, |c x d| = 3, and the angle between c and d is pi/4. Then a dot d is equal to:
- A. 11
- B. 3
- D. 1
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Q6
MATHS
Unit 1: Sets Relations and Functions
If the domain of the function f(x) = log(18x^2 - 11x + 1) / (10x^2 - 17x + 7) is the set {(-infinity, a) U (b, c) U (d, e)}, then 90(a + b + c + d + e) equals:
- A. 170
- B. 177
- C. 307
- D. 316
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Q7
MATHS
Unit 10: Co-ordinate Geometry
Let each of two ellipses E1 and E2 have eccentricity 4/5. Length of latus rectum of E1 is l1 and E2 is l2, where l2/l1 = 29/2. Distance between foci of E1 is 8. The distance between the foci of E2 is:
- A. 96/5
- B. 32/5
- C. 16/5
- D. 8/5
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Q7
MATHS
Unit 10: Co-ordinate Geometry
Let each of the two ellipses E1: (x^2/a^2) + (y^2/b^2) = 1 (a > b) and E2: (x^2/A^2) + (y^2/B^2) = 1 (A > B) have eccentricity 4/5. Let the lengths of the latus rectum of E1 and E2 be λ1 and λ2, respectively, such that λ1^2 = 29λ2^2. If the distance between the foci of E1 is 8, then the distance between the foci of E2 is:
- A. 96/5
- B. 32/5
- C. 16/5
- D. 8/5
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Q8
MATHS
Unit 14: Trigonometry
The value of (sqrt(3)cosec 20 - sec 20) / (cos 20 cos 40 cos 60 cos 80) is equal to:
- A. 32
- B. 16
- C. 64
- D. 12
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Q8
MATHS PAPER 2B
Unit 14: Trigonometry
The value of (3 cosec 20° - sec 20°) / (cos 20° cos 40° cos 60° cos 80°) is equal to:
- A. 32
- B. 16
- C. 64
- D. 12
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Q9
MATHS
Unit 2: Complex Numbers and Quadratic Equations
Let S = {z ∈ C : |z - 6i| / |z - 2i| = 1} and C = {z ∈ C : |z - 8 - 2i| / |z - 2i| = 3/5}. Then sum of |z|^2 for z ∈ S ∩ C is equal to:
- A. 398
- B. 413
- C. 423
- D. 385
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Q10
MATHS PAPER 2B
Unit 14: Trigonometry
If cot x = 5/12 for some x ∈ (π, 3π/2), then the expression [(sin(13x/2) + cos(13x/2))(sin(7x/2) + cos(7x/2))] / [(cos(13x/2) - sin(13x/2))(cos(7x/2) - sin(7x/2))] is equal to:
- A. 4/26
- B. 6/26
- C. 1/13
- D. 5/13
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Q12
MATHS
Unit 1: Sets Relations and Functions
Let R be a relation defined on the set {1,2,3,4} × {1,2,3,4} by R = {((a,b), (c,d)) : 2a + 3b = 3c + 4d}. Then the number of elements in R is:
- A. 6
- B. 18
- C. 12
- D. 15
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Q13
MATHS
Unit 10: Co-ordinate Geometry
Let A(1,0), B(2,-1) and C(7/3, 4/3) be three points. If the equation of the bisector of the angle ABC is αx + βy = 5, then the value of α^2 + β^2 is:
- A. 8
- B. 5
- C. 13
- D. 10
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Q14
MATHS
Unit 5: Binomial Theorem and its Simple Applications
Let S = 1/(25!) + 1/(3!23!) + 1/(5!21!) + ... up to 13 terms. If S = k/(26!), where k ∈ N, then n + k is equal to:
- A. 51
- B. 52
- C. 49
- D. 50
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Q15
MATHS
Unit 6: Sequence and Series
Consider an A.P.: a1, a2, ..., an; a1 > 0. If a21 - a1 = 31 and an - an-1 = 4/4, and Σ ai = 525 (i=1 to n), then Σ ai (i=1 to 17) is equal to:
- A. 476
- B. 952
- C. 238
- D. 136
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Q15
MATHS
Unit 6: Sequence and Series
Consider an A.P.: a1, a2, ..., an; a1 > 0. If a1a2, a3a4 = 1/3, and the sum of the first n terms is 525, then the sum of the first 17 terms is equal to:
- A. 476
- B. 952
- C. 238
- D. 136
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Q16
MATHS
Unit 7: Limit Continuity and Differentiability
Let α, β ∈ R be such that the function f(x) = { αx^2 - βx, x < 1; 3x + α + β, x ≥ 1} be differentiable at all x ∈ R. Then 3/4(α + β) is equal to:
↻ Repeated question — also appeared in
2026 (1 set)
- A. 84
- B. 48
- C. 36
- D. 24
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Q17
MATHS
Unit 13: Statistics and Probability
From a lot containing 10 defective and 90 non-defective bulbs, 8 bulbs are selected one by one with replacement. Then the probability of getting at least 7 defective bulbs is:
- A. 7/10^7
- B. 8/81 * 10^8
- C. 67/10^8
- D. 73/10^8
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Q18
MATHS
Unit 13: Statistics and Probability
The mean and variance of a data of 10 observations are 10 and 2, respectively. If an observation α in this data is replaced by β, then the mean and variance become 10.1 and 1.99, respectively. Then α + β equals:
- A. 10
- B. 15
- C. 5
- D. 20
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Q19
MATHS
Unit 8: Integral Calculus
Let A1 be the bounded area enclosed by the curves y^2 = x+2, x+y = 8 and y-axis in the first quadrant. Let A2 be the bounded area enclosed by the curves y^2 = x+2, y = x, x = 2 and y-axis in the first quadrant. Then A1 - A2 is equal to:
- A. (2/3) + 2*sqrt(2)
- B. (1/3) + 4*sqrt(2)
- C. (1/3) + 2*sqrt(2)
- D. (1/3) + 3*sqrt(2)
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Q20
MATHS
Unit 2: Complex Numbers and Quadratic Equations
The number of the real solutions of the equation |x^2 + 3x + 1| + |x^2 - x - 2| = 0 is:
- A. 3
- B. 2
- C. 5
- D. 4
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Q22
MATHS
Unit 11: Three Dimensional Geometry
Let a line L passing through the point P(1,1,1) be perpendicular to the lines (x-4)/4 = (y-1)/1 = (z-1)/1 and (x-1)/1 = (y-7)/1 = (z-1)/0. Let the line L intersect the yz-plane at the point Q. Another line parallel to L and passing through the point S(1,0,-1) intersects the yz-plane at the point R. Then the square of the area of the parallelogram PQRS is equal to ____.
- A. 6
- B. 8
- C. 10
- D. 12
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Q26
PHYSICS
Unit 1: Units and Measurements
Match the List-I with List-II:
List-I (Quantity)
A. Magnetic induction
B. Magnetic flux
C. Magnetic permeability
D. Self inductance
List-II (Dimensional Formula)
I. MLT^-2A^-2
II. ML^2T^-2A^-2
III. ML^0T^-2A^-1
IV. ML^2T^-2A^-1
Choose the correct answer from the options given below:
- A. (1) A-IV,B-III,C-I,D-II
- B. (2) A-III,B-IV,C-II,D-I
- C. (3) A-I,B-III,C-IV,D-II
- D. (4) A-III,B-IV,C-I,D-II
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Q26
PHYSICS
Unit 12: Current Electricity
Match the List-I with List-II:
List-I
A. Magnetic induction
B. Magnetic flux
C. Magnetic permeability
D. Self inductance
List-II
I. MLT–2A–2
II. ML2T–2A–2
III. MT–2A–1
IV. ML2T–2A–1
Choose the correct answer from the options given below:
- A. (1) A-IV, B-III, C-I, D-II
- B. (2) A-III, B-IV, C-II, D-I
- C. (3) A-I, B-III, C-IV, D-II
- D. (4) A-III, B-IV, C-I, D-II
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Q27
PHYSICS
Unit 13: Magnetic Effects of Current and Magnetism
Three charges +2q, +3q and -4q are situated at (0, -3a), (2a, 0) and (-2a, 0) respectively in the xy plane. The resultant dipole moment about origin is ____.
- A. 2qa(3j-i)
- B. 2qa(3i-7j)
- C. 2qa(7i-3j)
- D. 2qa(3j-7i)
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Q27
PHYSICS
Unit 11: Electrostatics
Three charges +2q, +3q and –4q are situated at (0, –3a), (2a, 0) and (–2a, 0) respectively in the xy plane. The resultant dipole moment about origin is ____
- A. 2qa (3j – i)
- B. 2qa (3i – 7j)
- C. 2qa (7i – 3j)
- D. 2qa (3j – 7i)
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Q28
PHYSICS
Unit 7: Properties of Solids and Liquids
A cylindrical block of mass M and area of cross section A is floating in a liquid of density ρ and with its axis vertical. When depressed a little and released the block starts oscillating. The period of oscillation is ____.
- A. 2π√(M / Agρ)
- B. 2π√(2M / Agρ)
- C. π√(A / Mgρ)
- D. π√(A / 2Mgρ)
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Q29
PHYSICS
Unit 8: Thermodynamics
Density of water at 4°C and 20°C are 1000 kg/m³ and 998 kg/m³ respectively. The increase in internal energy of 4 kg water when it is heated from 4°C to 20°C is ____ J. (Specific heat capacity of water = 4200 J/kg·K and 1 atmospheric pressure = 10⁵ Pa)
- A. 315826.2
- B. 234699.2
- C. 258700.8
- D. 268799.2
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Q30
PHYSICS
Unit 12: Current Electricity
Two resistors of 100Ω each are connected in series with a 9 V battery. A voltmeter of 400Ω resistance is connected to measure the voltage drop across one of the resistors. The voltmeter reading is ____ V.
- A. 3
- B. 4.5
- C. 4
- D. 2
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Q31
PHYSICS
Unit 16: Optics
The exit surface of a prism with refractive index n is coated with a material having refractive index n/2. When this prism is set for minimum angle of deviation it exactly meets the condition of critical angle. The prism angle is
- A. 60°
- B. 15°
- C. 30°
- D. 45°
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Q32
PHYSICS
Unit 18: Atoms and Nuclei
Two electrons are moving in orbits of two hydrogen like atoms with speeds 3 × 10⁵ m/s and 2.5 × 10⁵ m/s respectively. If the radii of these orbits are nearly same then the possible order of energy states are ____ respectively.
- A. 6 and 5
- B. 9 and 8
- C. 8 and 10
- D. 10 and 12
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Q33
PHYSICS
Unit 16: Optics
In a microscope of tube length 10 cm two convex lenses are arranged with focal length of 2 cm and 5 cm. Total magnification obtained with this system for normal adjustment is (5)k. The value of k is ____
- A. 2
- B. 5
- C. 3.5
- D. 4
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Q34
PHYSICS
Unit 14: Electromagnetic Induction and Alternating Currents
For the series LCR circuit connected with 220 V, 50 Hz a.c source as shown in the figure, the power factor is 10/α. The value of α is ____
- A. 4
- B. 10
- C. 6
- D. 8
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Q34
PHYSICS
Unit 12: Current Electricity
For the series LCR circuit connected with 220 V, 50 Hz a.c source as shown in the figure, the power factor is 10/alpha. The value of alpha is ____
- A. 4
- B. 10
- C. 6
- D. 8
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Q35
PHYSICS
Unit 15: Electromagnetic Waves
Match the List-I with List-II: List-I (A) Radio-wave (B) Micro-wave (C) Infrared-wave (D) X-ray; List-II (I) Produced by Magnetron valve (II) Due to change in the vibrational modes of atoms (III) Due to inner shell electrons moving from higher energy level to lower energy level (IV) Due to rapid acceleration of electrons.
- A. A-II,B-IV,C-III,D-I
- B. A-IV,B-III,C-I,D-II
- C. A-IV,B-I,C-II,D-III
- D. A-IV,B-II,C-I,D-III
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Q36
PHYSICS
Unit 3: Laws of Motion
A spring of force constant 15 N/m is cut into two pieces. If the ratio of their length is 1: 3, then the force constant of smaller piece is ____ N/m
- A. 15
- B. 20
- C. 60
- D. 45
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Q37
PHYSICS
Unit 12: Current Electricity
Two resistors 2Ω and 3Ω are connected in the gaps of bridge as shown in figure. The null point is obtained with the contact of jockey at some point on wire XY. When an unknown resistor is connected in parallel with 3Ω resistor, the null point is shifted by 22.5 cm toward Y. The resistance of unknown resistor is Ω.
- A. 3
- B. 2
- C. 4
- D. 1
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Q38
PHYSICS
Unit 18: Atoms and Nuclei
Given below are two statements: Statement I: For all elements, greater the mass of the nucleus, greater is the binding energy per nucleon. Statement II: For all elements, nuclei with less binding energy per nucleon transforms to nuclei with greater binding energy per nucleon. In the light of the above statements, choose the correct answer from the options given below:
- A. Both Statement I and Statement II are true
- B. Statement I is true but Statement II is false
- C. Both Statement I and Statement II are false
- D. Statement I is false but Statement II is true
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Q39
PHYSICS
Unit 8: Thermodynamics
A brass wire of length 2 m and radius 1 mm at 27°C is held taut between two rigid supports. Initially it was cooled to a temperature of -43°C creating a tension T in the wire. The temperature to which the wire has to be cooled in order to increase the tension in it to 1.4 T, is ____°C
- A. -86
- B. -71
- C. -65
- D. -80
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Q40
PHYSICS
Unit 11: Electrostatics
The electrostatic potential in a charged spherical region of radius r varies as V = ar^3 + b, where a and b are constants. The total charge in the sphere of unit radius is alpha * pi * epsilon0 * a. The value of alpha is ____.
- A. -12
- B. -6
- C. -9
- D. -8
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Q41
PHYSICS
Unit 3: Laws of Motion
Two masses 400 g and 350 g are suspended from the ends of a light string passing over a heavy pulley of radius 2 cm. When released from rest the heavier mass is observed to fall 81 cm in 9 s. The rotational inertia of the pulley is ____ 10^-3 kg.m^2. (g = 9.8 m/s^2)
- A. 9.5
- B. 4.75
- C. 1.86
- D. 8.3
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Q42
PHYSICS
Unit 16: Optics
An unpolarised light is incident at an interface of two dielectric media having refractive indices of 2 (incident medium) and 2√3 (medium) respectively. To satisfy the condition that reflected and refracted rays are perpendicular to each other, the angle of incidence is ____.
- A. 60°
- B. 10°
- C. 30°
- D. 45°
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Q43
PHYSICS
Unit 2: Kinematics
A boy throws a ball into air at 45º from the horizontal to land it on a roof of a building of height H. If the ball attains maximum height in 2 s and lands on the building in 3 s after launch, then value of H is ____ m. (g = 10 m/s^2)
- A. 20
- B. 10
- C. 25
- D. 15
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Q44
PHYSICS
Unit 11: Electrostatics
There are three co-centric conducting spherical shells A, B and C of radii a, b and c respectively. The potential of the spheres A, B and C respectively, are:
- A. 1/(4πε0) * [(q1+q2+q3)/a], [(q1+q2+q3)/b], [(q1+q2+q3)/c]
- B. 1/(4πε0) * [(q1/a + q2/b + q3/c)], [(q1/b + q2/b + q3/c)], [(q1/c + q2/c + q3/c)]
- C. 1/(4πε0) * [(q1/a + q2/b + q3/c)], [(q1/b + q2/b + q3/c)], [(q1/c + q2/c + q3/c)]
- D. 1/(4πε0) * [(q1/a + q2/a + q3/a)], [(q1/b + q2/b + q3/b)], [(q1/c + q2/c + q3/c)]
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Q45
PHYSICS
Unit 6: Gravitation
Three masses 200 kg, 300 kg and 400 kg are placed at the vertices of an equilateral triangle with sides 20 m. They are rearranged on the vertices of a bigger triangle of side 25 m and with the same centre. The work done in this process is ____ J. (Gravitational constant G = 6.7 × 10^-11 Nm^2/kg^2)
- A. 9.86 × 10^-6
- B. 2.85 × 10^-7
- C. 1.74 × 10^-7
- D. 4.77 × 10^-7
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Q46
PHYSICS
Unit 13: Magnetic Effects of Current and Magnetism
A short bar magnet placed with its axis at 30º with an external field of 800 Gauss, experiences a torque of 0.016 N.m. The work done in moving it from most stable to most unstable position is 10^-3 * α J. The value of α is ____.
- A. 64
- B. 32
- C. 16
- D. 128
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Q47
PHYSICS
Unit 9: Kinetic Theory of Gases
A gas of certain mass filled in a closed cylinder at a pressure of 3.23 kPa has temperature 50ºC. The gas is now heated to double its temperature. The modified pressure is ____ Pa.
- A. 3730
- B. 3230
- C. 6460
- D. 1615
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Q54
CHEMISTRY
Unit 3: Chemical Bonding and Molecular Structure
Given below are statements about some molecules/ions. Identify the CORRECT statements.
A. The dipole moment value of NF3 is higher than that of NH3.
B. The dipole moment value of BeH2 is zero.
C. The bond order of O2(2-) and F2 is same.
D. The formal charge on the central oxygen atom of ozone is -1.
E. In NO2, all the three atoms satisfy the octet rule, hence it is very stable.
Choose the correct answer from the options given below :
- A. (1) A, B, C, D & E
- B. (2) B & C only
- C. (3) B, C & D only
- D. (4) A, C & D only
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Q55
CHEMISTRY
Unit 5: Solutions
A solution is prepared by dissolving 0.3 g of a nonvolatile non-electrolyte solute 'A' of molar mass 60 g/mol and 0.9 g of a non-volatile non-electrolyte solute 'B' of molar mass 180 g/mol in 100 mL H2O at 27 °C. Osmotic pressure of the solution will be [Given : R = 0.082 L atm K^-1 mol^-1 ]
- A. (1) 1.23 atm
- B. (2) 2.46 atm
- C. (3) 0.82 atm
- D. (4) 1.47 atm
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Q56
CHEMISTRY
Unit 3: Chemical Bonding and Molecular Structure
Among the following, the CORRECT combinations are :
A. IF3 -> T-shaped (sp3d)
B. IF5 -> Square pyramidal (sp3d2)
C. IF7 -> Pentagonal bipyramidal (sp3d3)
D. ClO4^- -> Square planar (sp2d)
Choose the correct answer from the options given below :
- A. (1) A, B and C only
- B. (2) A and B only
- C. (3) A, B, C and D
- D. (4) B, C and D Only
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Q58
CHEMISTRY
Unit 12: Coordination Compounds
Consider a mixture 'X' which is made by dissolving 0.4 mol of [Co(NH3)5SO4]Br and 0.4 mol of [Co(NH3)5Br]SO4 in water to make 4 L of solution. When 2 L of mixture 'X' is allowed to react with excess of AgNO3, it forms precipitate 'Y'. The rest 2 L of mixture 'X' reacts with excess BaCl2 to form precipitate 'Z'. Which of the following statements is CORRECT?
- A. (1) 0.2 mol of 'Z' is formed
- B. (2) 'Y' is BaSO4 and 'Z' is AgBr
- C. (3) 0.4 mol of 'Z' is formed
- D. (4) 0.1 mol of 'Y' is formed
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Q59
CHEMISTRY
Unit 12: Coordination Compounds
Given below are two statements
Statements-I : The number of paramagnetic species among [CoF6]3-, [TiF6]3-, [V(H2O)5O]2- and [Fe(CN)6]3- is 3.
Statement-II : [K4Fe(CN)6] < [K3Fe(CN)6] < [Fe(H2O)6]SO4 < [Fe(H2O)6]Cl3 is the correct order in terms of number of unpaired electron(s) in the complexes.
In the light of the above statements, choose the correct answer from the options given below.?
↻ Repeated question — also appeared in
2026 (1 set)
- A. (1) Both statement-I and statement-II are true
- B. (2) Both statement-I and statement-II are false
- C. (3) Statement-I is true but statement-II is false
- D. (4) Statement-I is false but statement-II is true
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Q60
CHEMISTRY
Unit 10: p-Block Elements
Consider three metal chlorides x, y and z, where x is water soluble at room temperature, y is sparingly soluble in water at room temperature and z is soluble in hot water. x, y and z are respectively
- A. MgCl2, AgCl and AlCl3
- B. AgCl, Hg2Cl2 and PbCl2
- C. AlCl3, PbCl2 and BaCl2
- D. CuCl2, AgCl and PbCl2
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Q61
CHEMISTRY
Unit 16: Organic Compounds Containing Halogens
Match the List-I (Chloro derivative) with List-II (Example):
List-I:
A. Vinyl Chloride
B. Benzyl chloride
C. Alkyl chloride
D. Allyl chloride
List-II:
I. CH2=CH-CH2Cl
II. CH3-CH(Cl)-CH3
III. CH2=CHCl
IV. C6H5CH2Cl
Choose the correct answer from the options given below:
- A. A-IV, B-I, C-III, D-II
- B. A-III, B-IV, C-I, D-II
- C. A-III, B-IV, C-II, D-I
- D. A-I, B-II, C-IV, D-III
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Q62
CHEMISTRY
Unit 5: Solutions
'W' g of a non-volatile electrolyte solid solute of molar mass 'M' g/mol when dissolved in 100 mL water, decreases vapour pressure of water from 640 mm Hg to 600 mm Hg. If aqueous solution of the electrolyte boils at 375 K and Kb for water is 0.52 K kg mol^-1, then the mole fraction of the electrolyte solute (x2) in the solution can be expressed as (Given: density of water = 1 g/mL and boiling point of water = 373 K)
- A. 1.3W / 8M
- B. 16W / 2.6M
- C. 2.6M / 16W
- D. 1.3M / 8W
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Q63
CHEMISTRY
Unit 4: Chemical Thermodynamics
Match the List-I (Isothermal process for ideal gas system) with List-II (Work done if Vf > Vi):
A. Reversible expansion
B. Free expansion
C. Irreversible expansion
D. Irreversible compression
List-II:
I. w = 0
II. w = -nRT ln(Vf/Vi)
III. w = -Pext(Vf - Vi)
IV. w = -Pext(Vi - Vf)
Choose the correct answer from the options given below:
- A. A-IV, B-I, C-III, D-II
- B. A-IV, B-II, C-III, D-I
- C. A-I, B-III, C-II, D-IV
- D. A-II, B-I, C-III, D-IV
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Q64
CHEMISTRY
Unit 17: Organic Compounds Containing Oxygen
A student is given one compound among the following compounds that gives positive test with Tollen's reagent. The compound is:
- A. D
- B. A
- C. B
- D. C
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Q65
CHEMISTRY
Unit 14: Some Basic Principles of Organic Chemistry
A hydroxy compound (X) with molar mass 122 g mol^-1 is acetylated with acetic anhydride, using a large excess of the reagent ensuring complete acetylation of all hydroxyl groups. The product obtained has a molar mass of 290 g mol^-1. The number of hydroxyl groups present in compound (X) is :
↻ Repeated question — also appeared in
2026 (1 set)
- A. 3
- B. 5
- C. 2
- D. 4
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Q66
CHEMISTRY
Unit 8: Chemical Kinetics
At 27 C in presence of a catalyst, activation energy of a reaction is lowered by 10 kJ mol^-1. The logarithm ratio of k(catalysed)/k(uncatalysed) is .......... (Consider that the frequency factor for both the reactions is same)
- A. 17.41
- B. 1
- C. 0.5
- D. 4.14
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Q66
CHEMISTRY
Unit 8: Chemical Kinetics
At 27°C in presence of a catalyst, activation energy of a reaction is lowered by 10 kJ mol⁻¹. The logarithm ratio of k(catalysed) / k(uncatalysed) is:
- A. 17.41
- B. 1.741
- C. 3.482
- D. 0.1741
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Q67
CHEMISTRY
Unit 16: Organic Compounds Containing Halogens
Given below are two statements: Statement I: 'C-Cl' bond is stronger in CH2=CH-Cl than CH3-CH2-Cl. Statement II: The given optically active molecule, on hydrolysis gives a solution that can rotate the plane polarized light.
- A. Statement I is false but Statement II is true
- B. Both Statement I and Statement II are true
- C. Both Statement I and Statement II are false
- D. Statement I is true but Statement II is false
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Q68
CHEMISTRY
Unit 15: Hydrocarbons
Consider the following two reactions A and B. Numerical value of [molar mass of x + molar mass of y] is:
- A. 4
- B. 88
- C. 46
- D. 160
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Q69
CHEMISTRY
Unit 14: Some Basic Principles of Organic Chemistry
Arrange the following carbanions in the decreasing order of stability: I. p-Br-C6H4-CH2⁻ II. C6H5-CH2⁻ III. p-CH3O-C6H4-CH2⁻ IV. p-CHO-C6H4-CH2⁻ V. p-CH3-C6H4-CH2⁻
- A. I > II > IV > V > III
- B. I > IV > II > V > III
- C. IV > I > II > V > III
- D. IV > II > I > III > V
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Q70
CHEMISTRY
Unit 9: Classification of Elements and Periodicity in Properties
Given below are two statements: Statement I: K > Mg > Al > B is the correct order in terms of metallic character. Statement II: Atomic radius is always greater than the ionic radius for any element.
- A. Both Statement I and Statement II are true
- B. Both Statement I and Statement II are false
- C. Statement I is false but Statement II is true
- D. Statement I is true but Statement II is false
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Q71
CHEMISTRY
Unit 7: Redox Reactions and Electrochemistry
Electricity is passed through an acidic solution of Cu²⁺ till all the Cu²⁺ was exhausted, leading to the deposition of 300 mg of Cu metal. However, a current of 600 mA was continued to pass through the same solution for another 28 minutes by keeping the total volume of the solution fixed at 200 mL. The total volume of oxygen evolved at STP during the entire process is ____ mL.
- A. 111
- B. 100
- C. 125
- D. 95
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